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kotegsom [21]
3 years ago
6

Write the slope-intercept form of equation. 9x + 3y = 27

Mathematics
2 answers:
Len [333]3 years ago
4 0

<u>slope intercept form</u>: y = mx + b    [ where m is slope and b is y-intercept ]

\dashrightarrow  \  \sf9x + 3y = 27

\dashrightarrow  \  \sf 3y = 27 -9x

\dashrightarrow  \  \sf y = \dfrac{27 -9x}{3}

\dashrightarrow  \  \sf y =  -3x + 9

Here, the "slope is -3"  and  "y-intercept is 9"

12345 [234]3 years ago
4 0

Slope intercept form:-

  • y=mx+b

Now convert

  • 9x+3y=27
  • 3y=-9x+27
  • 3y=3(-3x+9)

Cancel 3

  • y=-3x+9
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Brian &amp; Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife &amp; the
Elza [17]

Answer:

The wife gets £468 over the son

Step-by-step explanation:

Firstly, we shall calculate the total amount Brian made from from what he and Paul won.

The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4

Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560

Now we have another ratio for sharing the amount Brain has at home.

The total ratio here is 1+6+3 = 10

The share of the wife will be 6/10 * 1560 = 6 * 156 = 936

The son share is half of this which is 936/2 = 468

The difference between their shares is £936-£468 = £468

3 0
4 years ago
I am a 4 digit number larger than 2,500. No two of my digits are the same. The product of the thousands digit and the hundreds d
gulaghasi [49]

Answer:

After 5 minutes of hitting my head on a wall I found your answer... 3256

Step-by-step explanation:

4 0
3 years ago
Please help in this question. I WILL mark brainliest. NO LINKS
deff fn [24]

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

<h2>Area of the shaded area = 24 - 9 = 15</h2>

<em>Hope that helps! :)</em>

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

6 0
4 years ago
X + 4 is prime x2 – 9 can be factored using the formula.
Anna71 [15]

We are given two binomials: x+4 , x^2-9.

x+4 can't be factored. Therefore,  it is a prime.

Let us work on x^2-9.

9 could be written as 3^2.

Therefore, x^2-9 = x^2 - 3^2.

Now, we can apply difference of the squares formula to factor it.

We know a^2 -b^2 = (a-b) (a+b).

Therefore,  x^2 - 3^2 can be factored as (x-3) (x+3).

So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).

3 0
3 years ago
Read 2 more answers
Simplify the expression. Write the answer using scientific notation. (4 × 108)2 16 × 1016 1.6 × 1016 8 × 1017 1.6 × 1017
sammy [17]

Answer:

\large\boxed{\bigg(4\times10^8\bigg)^2=1.6\times10^{17}}

Step-by-step explanation:

\text{The sicientific notation:}\ a\times10^k,\ \text{where}\ 1\leq a10\\\\=1.6\times10\times10^{16}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\=1.6\times10^{17}

6 0
3 years ago
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